Examining the possibility of finding solutions for singular and degenerate fractional nonlinear parabolic Dirichlet problems

Iqbal M. Batiha; Bourobta Ahmed; Oussaeif Taki-Eddine; Jamal Oudetallah; Suhaila Saidat; Iqbal H. Jebril

doi:10.1063/5.0295066

Examining the possibility of finding solutions for singular and degenerate fractional nonlinear parabolic Dirichlet problems

Iqbal M. Batiha
, Bourobta Ahmed
, Oussaeif Taki-Eddine
, Jamal Oudetallah
, Suhaila Saidat
, Iqbal H. Jebril

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Oum El Bouaghi
University of Petra
Irbid National University

Research output: Contribution to journal › Conference article › peer-review

Abstract

Through our investigation into the initial boundary value diffusion fractional spatio-temporal (STFDE) parabolic problem class, we establish that a unique weak solution exists within a functionally weighted Sobolev space. By utilizing an a priori estimate and an iterative process, we demonstrate the validity of our results, which are based on previous findings regarding the linear problem.

Original language	English
Article number	040015
Journal	AIP Conference Proceedings
Volume	3338
Issue number	1
DOIs	https://doi.org/10.1063/5.0295066
State	Published - 16 Dec 2025
Event	2nd Joint International Conference on Mathematics, Statistics, and Engineering, J-CoMSE 2024 - Kuala Terengganu, Malaysia Duration: 17 Sep 2025 → 18 Sep 2025

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abstract = "Through our investigation into the initial boundary value diffusion fractional spatio-temporal (STFDE) parabolic problem class, we establish that a unique weak solution exists within a functionally weighted Sobolev space. By utilizing an a priori estimate and an iterative process, we demonstrate the validity of our results, which are based on previous findings regarding the linear problem.",

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AU - Batiha, Iqbal M.

AU - Ahmed, Bourobta

AU - Taki-Eddine, Oussaeif

AU - Oudetallah, Jamal

AU - Saidat, Suhaila

AU - Jebril, Iqbal H.

PY - 2025/12/16

Y1 - 2025/12/16

N2 - Through our investigation into the initial boundary value diffusion fractional spatio-temporal (STFDE) parabolic problem class, we establish that a unique weak solution exists within a functionally weighted Sobolev space. By utilizing an a priori estimate and an iterative process, we demonstrate the validity of our results, which are based on previous findings regarding the linear problem.

AB - Through our investigation into the initial boundary value diffusion fractional spatio-temporal (STFDE) parabolic problem class, we establish that a unique weak solution exists within a functionally weighted Sobolev space. By utilizing an a priori estimate and an iterative process, we demonstrate the validity of our results, which are based on previous findings regarding the linear problem.

UR - https://www.scopus.com/pages/publications/105025987131

U2 - 10.1063/5.0295066

DO - 10.1063/5.0295066

M3 - Conference article

AN - SCOPUS:105025987131

SN - 0094-243X

VL - 3338

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

IS - 1

M1 - 040015

T2 - 2nd Joint International Conference on Mathematics, Statistics, and Engineering, J-CoMSE 2024

Y2 - 17 September 2025 through 18 September 2025

ER -

Examining the possibility of finding solutions for singular and degenerate fractional nonlinear parabolic Dirichlet problems

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